12067812524768 has 1152 divisors, whose sum is σ = 34292781831168. Its totient is φ = 4061933568000.

The previous prime is 12067812524671. The next prime is 12067812524777. The reversal of 12067812524768 is 86742521876021.

12067812524768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×12067812524768² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 57193424183 + ... + 57193424393.

It is an arithmetic number, because the mean of its divisors is an integer number (29768039784).

Almost surely, 2^{12067812524768} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12067812524768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17146390915584).

12067812524768 is an abundant number, since it is smaller than the sum of its proper divisors (22224969306400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12067812524768 is a wasteful number, since it uses less digits than its factorization.

12067812524768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 18063360, while the sum is 59.

The spelling of 12067812524768 in words is "twelve trillion, sixty-seven billion, eight hundred twelve million, five hundred twenty-four thousand, seven hundred sixty-eight".